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4612061808 = 243376114029
BaseRepresentation
bin1000100101110011…
…00111101001110000
3102220102102000102000
410102321213221300
533421141434213
62041352254000
7222201610224
oct42271475160
912812360360
104612061808
111a57430332
12a886a1300
13586681473
1431a75a784
151bed76c73
hex112e67a70

4612061808 has 80 divisors (see below), whose sum is σ = 13256666400. Its totient is φ = 1535224320.

The previous prime is 4612061743. The next prime is 4612061809. The reversal of 4612061808 is 8081602164.

It is a super-2 number, since 2×46120618082 = 42542228241624457728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4612061809) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321738 + ... + 335766.

It is an arithmetic number, because the mean of its divisors is an integer number (165708330).

Almost surely, 24612061808 is an apocalyptic number.

4612061808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4612061808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6628333200).

4612061808 is an abundant number, since it is smaller than the sum of its proper divisors (8644604592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4612061808 is a wasteful number, since it uses less digits than its factorization.

4612061808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14807 (or 14795 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4612061808 is about 67912.1624453234. The cubic root of 4612061808 is about 1664.5558558864. Note that the first 3 decimals are identical.

The spelling of 4612061808 in words is "four billion, six hundred twelve million, sixty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 761 1522 2283 3044 4566 6088 6849 9132 12176 13698 14029 18264 20547 27396 28058 36528 41094 42087 54792 56116 82188 84174 109584 112232 126261 164376 168348 224464 252522 328752 336696 378783 505044 673392 757566 1010088 1515132 2020176 3030264 6060528 10676069 21352138 32028207 42704276 64056414 85408552 96084621 128112828 170817104 192169242 256225656 288253863 384338484 512451312 576507726 768676968 1153015452 1537353936 2306030904 4612061808